\(a,721+100:\left[9-2.\left(4^2-14\right)^2\right]\)
\(=721+100:\left[9-2.\left(2\right)^2\right]\)
\(=721+100:\left[9-2.4\right]\)
\(=721+100:\left[9-8\right]\)
\(=721+100:1\)
\(=721+100\)
\(=821\)
\(b,\left|-15\right|.\left(-42\right).\left|21\right|\)
\(=15.\left(-42\right).21\)
\(=-630.21\)
\(=-13230\)